Implicit and electrostatic Particle-in-cell/Monte Carlo model in two dimensional and axisymmetric geometry I: analysis of numerical techniques

TL;DR

This paper presents an implicit Particle-in-cell/Monte Carlo model for 2D and axisymmetric radio-frequency discharge simulations, demonstrating improved computational efficiency while maintaining accuracy through advanced numerical schemes.

Contribution

Introduction of an implicit PIC/MC model with novel numerical schemes for efficient and accurate simulation of radio-frequency discharges in 2D and axisymmetric geometries.

Findings

Significant increase in computational efficiency over explicit models.

Maintained accuracy with new numerical schemes.

Benchmark results validate the model's effectiveness.

Abstract

We developed an implicit Particle-in-cell/Monte Carlo model in two-dimensional and axisymmetric geometry for the simulations of the radio-frequency discharges, by introducing several numerical schemes which include variable weights, multigrid field solver, etc. Compared to the standard explicit models, we found that the computational efficiency is significantly increased and the accuracy is still kept. Numerical schemes are discussed and benchmark results are shown. The code can be used to simulate practical reactors.